Search a number
-
+
301132234242 = 23279677246971
BaseRepresentation
bin1000110000111001110…
…00010011111000000010
31001210021102102111010200
410120130320103320002
514413204322443432
6350201020510030
730520223520660
oct4303470237002
91053242374120
10301132234242
11106789328684
124a4406ab316
13225205874b8
1410809671c30
157c76cb0a7c
hex461ce13e02

301132234242 has 48 divisors (see below), whose sum is σ = 745740844992. Its totient is φ = 86028541920.

The previous prime is 301132234241. The next prime is 301132234243. The reversal of 301132234242 is 242432231103.

301132234242 is a `hidden beast` number, since 3 + 0 + 1 + 13 + 223 + 424 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (301132234241) and next prime (301132234243).

It is a super-4 number, since 4×3011322342424 (a number of 47 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (301132234241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1095817 + ... + 1342787.

It is an arithmetic number, because the mean of its divisors is an integer number (15536267604).

Almost surely, 2301132234242 is an apocalyptic number.

301132234242 is an abundant number, since it is smaller than the sum of its proper divisors (444608610750).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

301132234242 is a wasteful number, since it uses less digits than its factorization.

301132234242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256663 (or 256660 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 301132234242 its reverse (242432231103), we get a palindrome (543564465345).

The spelling of 301132234242 in words is "three hundred one billion, one hundred thirty-two million, two hundred thirty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 9677 19354 29031 58062 67739 87093 135478 174186 203217 246971 406434 493942 609651 740913 1219302 1481826 1728797 2222739 3457594 4445478 5186391 10372782 15559173 31118346 2389938367 4779876734 7169815101 14339630202 16729568569 21509445303 33459137138 43018890606 50188705707 100377411414 150566117121 301132234242